Question

If the roots of a quadratic equation are reciprocal to each other and one
root is 2, then the equation is
(1) 2x2+5x+2=0
(2) 2x2+9=0
(3) 2x2+2x+2=0
(4).X2+2=0​

Answer 1

Answer:

please check the options again

Step-by-step explanation:

roots are reciprocals

one root is 2

other root will be 1/2

A = 2, B = 1/2

(A+B) = -b/a

5/2 = -b/a

b/a = -5/2

A.B = c/a

2x1/2 = 1 = c/a

x^2 - (5/2)x + 1 = 0

2x^2 - 5x + 2 = 0